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Introduction to smooth manifolds

By: Material type: TextTextSeries: Graduate texts in mathematics ; no. 218 | Graduate texts in mathematics no. 218Publication details: New York: Springer, 2003.Description: xvii, 628 p. : ilISBN:
  • 0387954953
  • 0387954481
Subject(s):
Contents:
Tabla de contenido: Smooth Manifolds Smooth Maps Tangent Vectors Vector Fields Vector Bundles The Cotangent Bundle Submersions, Immersions, and Embeddings Submanifolds Lie Groups Actions Embedding and Approximation Theorems Tensors Differential Forms Orientations Integration on Manifolds De Rham Cohomology The de Rham Theorem Integral Curves and Flows Lie Derivatives Integral Manifolds and Foliations Lie Groups and Their Lie Algebras Appendix: Review of Prerequisites - References - Index
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Tabla de contenido:
Smooth Manifolds
Smooth Maps
Tangent Vectors
Vector Fields
Vector Bundles
The Cotangent Bundle
Submersions, Immersions, and Embeddings
Submanifolds
Lie Groups Actions
Embedding and Approximation Theorems
Tensors
Differential Forms
Orientations
Integration on Manifolds
De Rham Cohomology
The de Rham Theorem
Integral Curves and Flows
Lie Derivatives
Integral Manifolds and Foliations
Lie Groups and Their Lie Algebras
Appendix: Review of Prerequisites - References - Index

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